Atkin-Lehner |
2- 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
78660w |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-142193067468750000 = -1 · 24 · 39 · 59 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 3 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1278732,556862569] |
[a1,a2,a3,a4,a6] |
j |
-19825073288584904704/12190763671875 |
j-invariant |
L |
5.8168149810457 |
L(r)(E,1)/r! |
Ω |
0.32315639060183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26220h2 |
Quadratic twists by: -3 |